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Subject: Re: King, rook pawn and wrong bishop endgames

Author: Uri Blass

Date: 08:10:53 10/19/00

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On October 19, 2000 at 09:18:45, Dieter Buerssner wrote:

>On October 18, 2000 at 14:14:20, Uri Blass wrote:
>
>>I can give another rule:
>>Blacks draw if it is black to move and the distance between the black king and
>>the corner in king moves is smaller than the ditance between the corner and the
>>white pieces except the bishop(white king in king moves and white pawn in pawn
>>moves)
>>
>>If it is white to move then use distance-1 instead of distance for white.
>
>Uri, thank you very much, for giving your rule. Also thanks to all
>the other answers to my questions.
>
>I have made a small experiment. I set up 10000 random positions
>with a white pawn on h, the wrong bishop and the kings on two random
>legal squares.  Black to move.
>Of the 10000 positions, 3716 where draws due to TBs.
>I compared the result of your rule, and the result that is returned by TBs. Your
>rule had an overall success rate of 90%.
>At first sight, this might not look too good, but it will probably be
>very good in practical play. I checked some of the positions, where the
>"rule" failed. Most positions, where you rule failed, where when it predicted
>a loss and the position is draw are trivial, because the Black king can capture
>the pawn in the next move. So in a real game, the quiescence search would find
>this immediately.
>
>In a few cases, the pawn can be captured the move after the next move,
>and these are of course more dangerous. One example
>
>[D] 2B5/8/7P/5k2/8/8/3K4/8 b - - 0 0
>
>But again here, with the help of search, this will be found soon.
>
>Rarely, your rule predicted a draw, when the position is lost. But here the
>success rate of your rule was almost 99%. (In 95 positions, your rule predicted
>a wrong draw). One example:
>
>[D] 5k2/8/7P/8/8/8/B7/6K1 b - - 0 0


No my rule does not say that it is a draw because the distance of the king to
the corner is equal and not smaller then the distance of the pawn.

I guess that in most of the cases when the distance is equal it is a draw but my
rule was made to be always correct when it says draw.

It is possible to do a rule that is 100% correct when it says win when the other
positions can be divided to probably draw and probably win for white but I did
not do it.

Uri



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